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Finding the Fourth Proportional to 30,293.89, 45,447.37 and 9,233.39

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Solution

The fourth proportional to 30,293.89, 45,447.37 and 9,233.39 is: 13,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,293.89 : 45,447.37 = 9,233.39 : x
  2. Step 2: Convert to fraction form
    30,293.89/45,447.37 = 9,233.39/x
  3. Step 3: Cross multiply
    30,293.89x = 45,447.37 × 9,233.39
  4. Step 4: Simplify right side
    30,293.89x = 419,633,382.22
  5. Step 5: Solve for x
    x = 419,633,382.22/30,293.89
  6. Step 6: Final answer
    x = 13,852.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.